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344344144 = 241929139281
BaseRepresentation
bin10100100001100…
…100011001010000
3212222221111100211
4110201210121100
51201123003034
654100253504
711350606534
oct2441443120
9788844324
10344344144
11167411941
12973a1294
1356455a41
1433a37bc4
152036cd64
hex14864650

344344144 has 80 divisors (see below), whose sum is σ = 734328000. Its totient is φ = 155796480.

The previous prime is 344344123. The next prime is 344344151. The reversal of 344344144 is 441443443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225284 + ... + 1225564.

It is an arithmetic number, because the mean of its divisors is an integer number (9179100).

Almost surely, 2344344144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367164000).

344344144 is an abundant number, since it is smaller than the sum of its proper divisors (389983856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344344144 is a wasteful number, since it uses less digits than its factorization.

344344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its digits is 36864, while the sum is 31.

The square root of 344344144 is about 18556.5121722807. The cubic root of 344344144 is about 700.9131918421.

Adding to 344344144 its reverse (441443443), we get a palindrome (785787587).

The spelling of 344344144 in words is "three hundred forty-four million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 139 152 232 278 281 304 464 551 556 562 1102 1112 1124 2204 2224 2248 2641 4031 4408 4496 5282 5339 8062 8149 8816 10564 10678 16124 16298 21128 21356 32248 32596 39059 42256 42712 64496 65192 76589 78118 85424 130384 153178 154831 156236 306356 309662 312472 612712 619324 624944 742121 1132711 1225424 1238648 1484242 2265422 2477296 2968484 4530844 5936968 9061688 11873936 18123376 21521509 43043018 86086036 172172072 344344144